348968551680 has 864 divisors, whose sum is σ = 1405654548480. Its totient is φ = 78292500480.

The previous prime is 348968551667. The next prime is 348968551697. The reversal of 348968551680 is 86155869843.

348968551680 is a `hidden beast` number, since 3 + 489 + 68 + 5 + 5 + 16 + 80 = 666.

It is a super-3 number, since 3×348968551680³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1827060385 + ... + 1827060575.

Almost surely, 2^348968551680 is an apocalyptic number.

348968551680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348968551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702827274240).

348968551680 is an abundant number, since it is smaller than the sum of its proper divisors (1056685996800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

348968551680 is a wasteful number, since it uses less digits than its factorization.

348968551680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 348968551680 in words is "three hundred forty-eight billion, nine hundred sixty-eight million, five hundred fifty-one thousand, six hundred eighty".